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133136640 = 28325713127
BaseRepresentation
bin1111110111110…
…00000100000000
3100021112001010200
413323320010000
5233040333030
621113325200
73204433320
oct773700400
9307461120
10133136640
116917458a
1238706800
13217763a0
1413979280
15ba4cd60
hex7ef8100

133136640 has 432 divisors, whose sum is σ = 571404288. Its totient is φ = 27869184.

The previous prime is 133136621. The next prime is 133136659. The reversal of 133136640 is 46631331.

133136640 is a `hidden beast` number, since 1 + 3 + 3 + 13 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (133136621) and next prime (133136659).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048257 + ... + 1048383.

Almost surely, 2133136640 is an apocalyptic number.

133136640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285702144).

133136640 is an abundant number, since it is smaller than the sum of its proper divisors (438267648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133136640 is a wasteful number, since it uses less digits than its factorization.

133136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 133136640 is about 11538.4851692066. The cubic root of 133136640 is about 510.6216180367.

Adding to 133136640 its reverse (46631331), we get a palindrome (179767971).

The spelling of 133136640 in words is "one hundred thirty-three million, one hundred thirty-six thousand, six hundred forty".